Exam 1

Exam 1

Question
What is the distance between the two points $p = (2, 4)$ and $q = (5, 4)$ in a Cartesian coordinate system?

Solution
The distance $d$ of $p$ and $q$ is given by $d^{2} = (p_{1} - q_{1})^{2} + (p_{2} - q_{2})^{2}$ (Pythagorean formula).
Hence $d = \sqrt{(p_{1} - q_{1})^{2} + (p_{2} - q_{2})^{2}} = \sqrt{(2 - 5)^{2} + (4 - 4)^{2}} = 3$ .